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Finding the Third Proportional to 1,270,377,113 and 2,751,802,642

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Solution

The third proportional to 1,270,377,113 and 2,751,802,642 is: 5,960,763,700.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,270,377,113 : 2,751,802,642 = 2,751,802,642 : x
  2. Step 2: Convert to fraction form
    1,270,377,113/2,751,802,642 = 2,751,802,642/x
  3. Step 3: Cross multiply
    1,270,377,113x = 2,751,802,642 × 2,751,802,642
  4. Step 4: Simplify right side
    1,270,377,113x = 7,572,417,780,518,179,840
  5. Step 5: Solve for x
    x = 7,572,417,780,518,179,840/1,270,377,113
  6. Step 6: Final answer
    x = 5,960,763,700.03

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.